272251 has 16 divisors (see below), whose sum is σ = 345600. Its totient is φ = 209088.

The previous prime is 272249. The next prime is 272257. The reversal of 272251 is 152272.

It is a 6-Lehmer number, since φ(272251) divides (272251-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 272251 - 2¹ = 272249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015 + ... + 3103.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

It is a Poulet number, since it divides 2²⁷²²⁵⁰-1.

2²⁷²²⁵¹ is an apocalyptic number.

272251 is a deficient number, since it is larger than the sum of its proper divisors (73349).

272251 is a wasteful number, since it uses less digits than its factorization.

272251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 280, while the sum is 19.

The square root of 272251 is about 521.7767721929. The cubic root of 272251 is about 64.8121598630.

It can be divided in two parts, 27 and 2251, that added together give a triangular number (2278 = T₆₇).

The spelling of 272251 in words is "two hundred seventy-two thousand, two hundred fifty-one".